EFFICIENT SIMPLE GROUPS

DOI10.1081/AGB-120013342zbMath1014.20005OpenAlexW4214619086MaRDI QIDQ4792656

George Havas, Alexander Hulpke, Colin M. Campbell, Edmund F. Robertson

Publication date: 10 April 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120013342

zbMATH Keywords

Schur multipliersefficient presentationspresentations of simple groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Software, source code, etc. for problems pertaining to group theory (20-04) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

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• Generation of classical groups
• Presentations for the simple groups g, l0⁵≪ |g| < 10⁶
• Efficient presentations for three simple groups
• THREE-RELATOR QUOTIENTS OF THE MODULAR GROUP
• The non-abelian simple groups g, |g| < 10⁵— presentations
• The efficiency of simple groups of order < 10⁵
• Efficient presentations for certain simple groups